Question

A line passes through (2,8) and (4,12) which equation best represents the line

Answer 1

Answer: y=2x+4

make a table of both the points, find the difference between each x and y. For this its x=2 and y=4 so 4/2 equals 2 so you have your mx for y=mx+b. So far we have y=2x+b now we just need to find b. Since this is a linear equation all you have to do is go backwards. We have (2,8) and (4,12) so (0,4) would be b since (1,6) is just going down by the mx.

Answer 2

y=2x+4

Step-by-step explanation:\solving for the slope you get (12-8)/(4-2)=4/2=2

solving for the y intercept you subtract 4 from 8 because 2*2 is 4 and (2,8) is 2 x values away from the y intercept so 8-4=4 so the y intercept is 4

so y=2x+4